Keysha has 84 nickels and 96 dimes in her purse.
Step-by-step explanation:
Total coins = 180
Worth of coins = $13.80 = 13.80*100 = 1380 cents
Nickel = 5 cents
Dime = 10 cents
Let,
Number of nickel coins = x
Number of dime coins = y
According to given statement;
x+y=180 Eqn 1
5x+10y=1380 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 5
Putting y=96 in Eqn 1
Keysha has 84 nickels and 96 dimes in her purse.
Keywords: linear equation, elimination method
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